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(Solved): The graphs of two functions f and g are shown below. Suppose the function h is defined as h(x)=g(x ...



The graphs of two functions \( f \) and \( g \) are shown below.
Suppose the function \( h \) is defined as \( h(x)=\frac{f(x

The graphs of two functions and are shown below. Suppose the function is defined as . a. Determine the vertical intercept of . b. Determine the root(s) of . c. Determine the vertical asymptote(s) of . d. Determine the horizontal asymptote of .


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From the graph, we can see that the function f passes through the points (-1, 0) and (0, 1). Therefore, the equation of function f will be:
  
  
  

Replace y with f(x), we'll get:
  

Similarly, the function g passes through the points (-4, 0) and (0, 4). Therefore, the equation of the function g will be:
  
  
  

Replace y with g(x), we'll get:
  
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